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Finding the Fourth Proportional to 89.82, 135.42 and 75.66

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Solution

The fourth proportional to 89.82, 135.42 and 75.66 is: 114.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.82 : 135.42 = 75.66 : x
  2. Step 2: Convert to fraction form
    89.82/135.42 = 75.66/x
  3. Step 3: Cross multiply
    89.82x = 135.42 × 75.66
  4. Step 4: Simplify right side
    89.82x = 10,245.88
  5. Step 5: Solve for x
    x = 10,245.88/89.82
  6. Step 6: Final answer
    x = 114.07

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.